X iv : g r - qc / 9 81 10 23 v 1 6 N ov 1 99 8 Spacetime defects : Domain walls and torsion

ar X iv : g r - qc / 9 81 10 22 v 1 6 N ov 1 99 8 The one - loop divergences of the linear gravity withthe torsion terms in tetrad approach

In this paper we discuss the connection between the geometric and tetrad approaches in the quantum affine-metric gravity. The corresponding transition formulas are obtained at the one-loop level. As an example, the one-loop counterterms are calculated in the tetrad formalism in the theory with terms quadratic in the torsion field. This model possesses the extra local symmetries connected with t...

ar X iv : g r - qc / 9 81 10 89 v 1 2 6 N ov 1 99 8 Spectral methods in general relativistic astrophysics

We present spectral methods developed in our group to solve three-dimensional partial differential equations. The emphasis is put on equations arising from astro-physical problems in the framework of general relativity.

ar X iv : g r - qc / 9 31 10 23 v 1 1 4 N ov 1 99 3 Tunnelling geometries II . Reduction methods for functional determinants

The reduction algorithms for functional determinants of differential operators on spacetime manifolds of different topological types are presented, which were recently used for the calculation of the no-boundary wavefunction and the partition function of tunnelling geometries in quantum gravity and cosmology. PACS numbers: 04.60.+n, 03.70.+k, 98.80.Hw

ar X iv : g r - qc / 9 81 10 79 v 1 2 3 N ov 1 99 8 Instantons For Black Hole Pair Production ∗ Paul

We address the issue of constructing continuous instantons representing the pair creation of black holes in a cosmological context. The recent attempt at constructing such solutions using virtual domain walls is reviewed first. We then explore the existence of continous instantons in higher curavature gravity theories where the Lagrangian is polynomial in the Ricci scalar. Lastly, we study cont...

ar X iv : g r - qc / 9 51 10 48 v 1 1 6 N ov 1 99 5 Two lectures on Two - Dimensional Gravity ∗